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Finding the Fourth Proportional to 81,807.30, 112,892.13 and 53,512.38

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Solution

The fourth proportional to 81,807.30, 112,892.13 and 53,512.38 is: 73,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,807.30 : 112,892.13 = 53,512.38 : x
  2. Step 2: Convert to fraction form
    81,807.30/112,892.13 = 53,512.38/x
  3. Step 3: Cross multiply
    81,807.30x = 112,892.13 × 53,512.38
  4. Step 4: Simplify right side
    81,807.30x = 6,041,126,559.57
  5. Step 5: Solve for x
    x = 6,041,126,559.57/81,807.30
  6. Step 6: Final answer
    x = 73,845.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.